Question #320047

A point charge q1 = + 7.00 x 10-10 C is at the point x = 0.900m, y= 0.700 m and a second point charge q2 = -3.00 x 10-10 C is at the point x = 0.900 m, y= 0m . Calculate the magnitude and direction of the resultant electric field at the origin due to these charges. 



1
Expert's answer
2022-03-29T12:29:47-0400


Electric field due to chargeq1q_1


E1=kq1r2E_1=\frac{kq_1}{r^2}

E1=9×109×7×1010(1.3)2=4.846N/CE_1=\frac{9\times10^9\times7\times10^{-10}}{\sqrt{(1.3})^2}=4.846N/C

E2=kq2r2E_2=\frac{kq_2}{r^2}


E2=9×109×3×1010(0.9)2=3.33N/CE_2=-\frac{9\times10^9\times3\times10^{-10}}{{(0.9})^2}=-3.33N/C

Enet=E12+E22+2E1E2cosϕE_{net}=\sqrt{E_1^2+E_2^2+2E_1E_2cos\phi}

ϕ=45°\phi=45°


Enet=4.8462+(3.33)2+2×4.846×3.33×cos135E_{net}=\sqrt{4.846^2+(-3.33)^2+2\times4.846\times3.33\times cos135}

Enet=3.42N/CE_{net}=3.42N/C

Direction OP direction according to daigram



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